Games on all fields


The purpose of this activity is to engage students in using counting strategies, images and/or materials to solve a problem.

Achievement Objectives
NA1-1: Use a range of counting, grouping, and equal-sharing strategies with whole numbers and fractions.
NA1-3: Know groupings with five, within ten, and with ten.
NA1-4: Communicate and explain counting, grouping, and equal-sharing strategies, using words, numbers, and pictures.
Description of Mathematics

In readiness for this problem, the students should have familiarity with each of the following components of mathematics. The problem may be solved with different combinations of these components.

  • Finding information needed from a context
  • Using images to represent a problem
  • Using materials to represent a problem
  • Using counting on strategies
  • Counting forward to find an unknown

This activity may be carried out with guidance, or by allowing the student to follow their own method of solution.  It should be noted that students may need assistance to explore the context. It may not be immediately obvious that a game of football comprises two opposing teams. The level and style of guidance provided, should be chosen in sympathy with students’ skills and depth of understanding.


A school has three football fields. 

At lunchtime, there is a five-a-side football game on each of the fields.

Two of the teams are made up of year one students and the others are all year two students.

How many of the players on the fields are year two students?


Note: Five-a-side means five players on each team. There are no subs.

The visual approach (show more)

  • The student is able to represent, visually, the information given in order to solve a problem.

The conceptual approach (show more)

  • The student is able to use the information provided to solve a problem.

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